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130434444421110 = 23354147250695659
BaseRepresentation
bin11101101010000100100010…
…101110011110011111110110
3122002211102002200211112202000
4131222010202232132133312
5114044014220232433420
61141224431225400130
736321402061310334
oct3552044256363766
9562742080745660
10130434444421110
1138618a34502a55
121276709b639046
1357a1bb8ca259b
14242d0bcb68b54
151012d74d7b690
hex76a122b9e7f6

130434444421110 has 128 divisors (see below), whose sum is σ = 363889764403200. Its totient is φ = 33212160771840.

The previous prime is 130434444421079. The next prime is 130434444421129. The reversal of 130434444421110 is 11124444434031.

130434444421110 is a `hidden beast` number, since 1 + 3 + 0 + 43 + 44 + 44 + 421 + 110 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124827540 + ... + 125868119.

It is an arithmetic number, because the mean of its divisors is an integer number (2842888784400).

Almost surely, 2130434444421110 is an apocalyptic number.

130434444421110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130434444421110 is an abundant number, since it is smaller than the sum of its proper divisors (233455319982090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130434444421110 is a wasteful number, since it uses less digits than its factorization.

130434444421110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250695763 (or 250695757 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 130434444421110 its reverse (11124444434031), we get a palindrome (141558888855141).

The spelling of 130434444421110 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 47 54 82 90 94 123 135 141 205 235 246 270 282 369 410 423 470 615 705 738 846 1107 1230 1269 1410 1845 1927 2115 2214 2538 3690 3854 4230 5535 5781 6345 9635 11070 11562 12690 17343 19270 28905 34686 52029 57810 86715 104058 173430 260145 520290 250695659 501391318 752086977 1253478295 1504173954 2256260931 2506956590 3760434885 4512521862 6768782793 7520869770 10278522019 11281304655 11782695973 13537565586 20557044038 22562609310 23565391946 30835566057 33843913965 35348087919 51392610095 58913479865 61671132114 67687827930 70696175838 92506698171 102785220190 106044263757 117826959730 154177830285 176740439595 185013396342 212088527514 277520094513 308355660570 318132791271 353480879190 462533490855 483090534893 530221318785 555040189026 636265582542 925066981710 966181069786 1060442637570 1387600472565 1449271604679 1590663956355 2415452674465 2775200945130 2898543209358 3181327912710 4347814814037 4830905348930 7246358023395 8695629628074 13043444442111 14492716046790 21739074070185 26086888884222 43478148140370 65217222210555 130434444421110